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Finding the Fourth Proportional to 4,843.81, 7,265.68 and 3,207.68

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Solution

The fourth proportional to 4,843.81, 7,265.68 and 3,207.68 is: 4,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.81 : 7,265.68 = 3,207.68 : x
  2. Step 2: Convert to fraction form
    4,843.81/7,265.68 = 3,207.68/x
  3. Step 3: Cross multiply
    4,843.81x = 7,265.68 × 3,207.68
  4. Step 4: Simplify right side
    4,843.81x = 23,305,976.42
  5. Step 5: Solve for x
    x = 23,305,976.42/4,843.81
  6. Step 6: Final answer
    x = 4,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.